Word Pronunciation & Dictionary

homothety

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables: ho-mo-th-ety
IPA

20

Scrabble Score

9

Letters

4

Syllables

6

Unique Chars

Meaning

noun

An isotropic scaling transformation of an affine space with a single fixed point.

noun

A homomorphism from a module M over a ring A to itself of the form ν:x↦ax for some fixed a∈A (especially when M=A; a is said to be the ratio of the homothety, by analogy with the geometric case).

Example Sentences

"The product of two homotheties with the same centre is a homothety with that centre."
"One cannot obtain all similarity mappings from products of homotheties alone, but they are necessary and basic to similarities."
"Since homotheties are determined by the fixed point, called the center of the homothety, and by the similitude ratio λ, we shall denote by h_(P,λ) the homothety with center P and similitude ratio λ."

Etymology

From Ancient Greek ὁμο- (homo-, “same”) + θέσις (thésis, “setting, placement, arrangement”).

Inflected Forms

homotheties (plural)

Phrases

roto-homothety

Frequently Paired Words

homothetic

Synonyms

homothecy homogeneous dilation homothetic transformation

Questions

What does homothety mean?: An isotropic scaling transformation of an affine space with a single fixed point.
Where does homothety come from?: From Ancient Greek ὁμο- (homo-, “same”) + θέσις (thésis, “setting, placement, arrangement”).

How to pronounce homothety

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